Bibliography
============

The code in this project is based on ideas from the following publications:

- **[Stratearn2017]** Strathearn et al.,
  *Efficient real-time path integrals for non-Markovian spin-boson models*.
  `New J. Phys. 19(9), p.093009 <http://dx.doi.org/10.1088/1367-2630/aa8744>`_
  (2017).
- **[Strathearn2018]]** Strathearn et al.,
  *Efficient non-Markovian quantum dynamics using time-evolving matrix product
  operators*,
  `Nat. Commun. 9, 3322 <https://doi.org/10.1038/s41467-018-05617-3>`_
  (2018).
- **[Pollock2018]** Pollock et al.,
  *Non-Markovian quantum processes: Complete framework and efficient
  characterization*,
  `Phys. Rev. A 97, 012127 <http://dx.doi.org/10.1103/PhysRevA.97.012127>`_
  (2018).
- **[Jorgensen2019]** Jørgensen and Pollock,
  *Exploiting the causal tensor network structure of quantum processes to
  efficiently simulate non-Markovian path integrals*,
  `Phys. Rev. Lett. 123, 240602 <http://dx.doi.org/10.1103/PhysRevLett.123.240602>`_
  (2019).
- **[Strathearn2019]** Strathearn,
  *Modelling Non-Markovian Quantum Systems Using Tensor Networks*,
  `Springer Theses <http://link.springer.com/10.1007/978-3-030-54975-6>`_
  (2020).
- **[Fux2021]** Fux et al.,
  *Efficient exploration of Hamiltonian parameter space for optimal control
  of non-Markovian open quantum systems*,
  `Phys. Rev. Lett. 126, 200401 <https://link.aps.org/doi/10.1103/PhysRevLett.126.200401>`_
  (2021).
- **[Gribben2021a]** Gribben et al.,
  *Using the Environment to Understand non-Markovian Open Quantum Systems*,
  `arXiv:2106.04212 <http://arxiv.org/abs/2106.04212>`_
  (2021).
- **[Gribben2021b]** Gribben et al.,
  *Exact dynamics of non-additive environments in non-Markovian open quantum
  systems*,
  `arXiv:2109.08442 <http://arxiv.org/abs/2109.08442>`_ (2021).
- **[Fux2022]** Fux et al.,
  *Thermalization of a spin chain strongly coupled to its environment*,
  `arXiv:2201.05529 <http://arxiv.org/abs/2201.05529>`_ (2022).

.. _bibtex:

BibTeX
------

.. code-block:: bibtex

  @article{Fux2021,
    title = {Efficient Exploration of Hamiltonian Parameter Space for Optimal Control of Non-Markovian Open Quantum Systems},
    author = {Fux, Gerald E. and Butler, Eoin P. and Eastham, Paul R. and Lovett, Brendon W. and Keeling, Jonathan},
    journal = {Phys. Rev. Lett.},
    volume = {126},
    issue = {20},
    pages = {200401},
    numpages = {6},
    year = {2021},
    month = {May},
    publisher = {American Physical Society},
    doi = {10.1103/PhysRevLett.126.200401},
    url = {https://link.aps.org/doi/10.1103/PhysRevLett.126.200401}
  }

  @article{Jorgensen2019,
    title = {Exploiting the Causal Tensor Network Structure of Quantum
             Processes to Efficiently Simulate Non-Markovian Path Integrals},
    author = {J\o{}rgensen, Mathias R. and Pollock, Felix A.},
    journal = {Phys. Rev. Lett.},
    volume = {123},
    issue = {24},
    pages = {240602},
    numpages = {7},
    year = {2019},
    month = {Dec},
    publisher = {American Physical Society},
    doi = {10.1103/PhysRevLett.123.240602},
    url = {https://link.aps.org/doi/10.1103/PhysRevLett.123.240602}
  }

  @article{Pollock2018,
    author = {Pollock, Felix A. and Rodr{\'{i}}guez-Rosario, C{\'{e}}sar and
              Frauenheim, Thomas and Paternostro, Mauro and Modi, Kavan},
    doi = {10.1103/PhysRevA.97.012127},
    issn = {24699934},
    journal = {Phys. Rev. A},
    month = {jan},
    number = {1},
    pages = {012127},
    title = {{Non-Markovian quantum processes: Complete framework and
              efficient characterization}},
    url = {https://link.aps.org/doi/10.1103/PhysRevA.97.012127
           http://arxiv.org/abs/1512.00589
           http://dx.doi.org/10.1103/PhysRevA.97.012127},
    volume = {97},
    year = {2018}
  }

  @article{Strathearn_2017,
  	doi = {10.1088/1367-2630/aa8744},
  	url = {https://doi.org/10.1088/1367-2630/aa8744},
  	year = 2017,
  	month = {sep},
  	publisher = {{IOP} Publishing},
  	volume = {19},
  	number = {9},
  	pages = {093009},
  	author = {A Strathearn and B W Lovett and P Kirton},
  	title = {Efficient real-time path integrals for non-Markovian spin-boson models},
  	journal = {New Journal of Physics},
  }

  @article{Strathearn2018,
    author = {Strathearn, A. and Kirton, P. and Kilda, D. and Keeling, J. and
              Lovett, B. W.},
    doi = {10.1038/s41467-018-05617-3},
    issn = {20411723},
    journal = {Nat. Commun.},
    month = {dec},
    number = {1},
    pages = {3322},
    pmid = {30127490},
    title = {{Efficient non-Markovian quantum dynamics using time-evolving
              matrix product operators}},
    url = {https://doi.org/10.1038/s41467-018-05617-3},
    volume = {9},
    year = {2018}
  }

  @book{Strathearn2019,
    address = {Cham},
    author = {Strathearn, Aidan},
    doi = {10.1007/978-3-030-54975-6},
    isbn = {978-3-030-54974-9},
    publisher = {Springer International Publishing},
    series = {Springer Theses},
    title = {{Modelling Non-Markovian Quantum Systems Using Tensor Networks}},
    url = {http://link.springer.com/10.1007/978-3-030-54975-6},
    year = {2020}
  }

  @misc{OQuPy,
    author={{The TEMPO collaboration}},
    title={{OQuPy: A Python 3 package to efficiently compute
            non-Markovian open quantum systems.}},
    year=2020,
    publisher={GitHub},
    doi={10.5281/zenodo.4428316}
    url={https://github.com/tempoCollaboration/TimeEvolvingMPO}
  }